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4074084 = 2233717317
BaseRepresentation
bin1111100010101001100100
321122222121000
433202221210
52020332314
6223153300
746425540
oct17425144
97588530
104074084
112332a13
121445830
13ac8501
14780a20
15557209
hex3e2a64

4074084 has 96 divisors (see below), whose sum is σ = 12821760. Its totient is φ = 1092096.

The previous prime is 4074073. The next prime is 4074089. The reversal of 4074084 is 4804704.

4074084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4074089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12694 + ... + 13010.

It is an arithmetic number, because the mean of its divisors is an integer number (133560).

Almost surely, 24074084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410880).

4074084 is an abundant number, since it is smaller than the sum of its proper divisors (8747676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4074084 is a wasteful number, since it uses less digits than its factorization.

4074084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4074084 is about 2018.4360282159. The cubic root of 4074084 is about 159.7141249424.

Adding to 4074084 its reverse (4804704), we get a palindrome (8878788).

The spelling of 4074084 in words is "four million, seventy-four thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 317 357 378 459 476 612 634 714 756 918 951 1071 1268 1428 1836 1902 2142 2219 2853 3213 3804 4284 4438 5389 5706 6426 6657 8559 8876 10778 11412 12852 13314 16167 17118 19971 21556 26628 32334 34236 37723 39942 48501 59913 64668 75446 79884 97002 113169 119826 145503 150892 194004 226338 239652 291006 339507 452676 582012 679014 1018521 1358028 2037042 4074084